Influences of Anisotropic Stretching of Boundary Conforming Grid on Traveltime Computation by Topography‐Dependent Eikonal Equation

AbstractThe classical eikonal equation is commonly used in Cartesian coordinate system for problems that involve static correction, prestack migration, earthquake location and seismic tomography, but is less effective for calculating travel times in an earth model that has an irregular surface. We have presented a topography‐dependent eikonal equation in a curvilinear coordinate system that makes use of the surface boundary grid and map a rectangular grid onto a curved one. Then, we utilized the efficient Lax‐Friedrichs sweeping scheme to approximate the viscosity solutions of the eikonal equation in the curvilinear coordinate system. In this paper, we investigate the impacts due to the anisotropic stretching of the boundary conforming grid on the traveltime computation by using the topography‐dependent eikonal equation, which has a significant meaning in the direction of our method in geophysical application.